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A Note on Spectral Curve for the Periodic Homogeneous $XYZ$-Spin Chain

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arxiv hep-th/9604078 v1 pith:X4CQOSTV submitted 1996-04-15 hep-th

classification hep-th
keywords chaincurveellipticspectralspinactionanalysisbehind
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abstract

We discuss the construction of the spectral curve and the action integrals for the ``elliptic" $XYZ$ spin chain of the length $N_c$. Our analysis can reflect the integrable structure behind the ``elliptic" ${\cal N}=2$ supersymmetric QCD with $N_f=2N_c$.

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Cited by 2 Pith papers

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  1. Dimers for Relativistic Toda Models with Reflective Boundaries

    hep-th 2025-10 unverdicted novelty 7.0 of 10

    Dimer graphs are constructed for relativistic Toda chains of listed Lie algebra types, and Seiberg-Witten curves of 5d N=1 pure SYM for group G are identified as spectral curves of the dual Toda chain for G^vee.

  2. Classical elliptic integrable systems from the moduli space of instantons

    math-ph 2024-12 conditional novelty 4.0 of 10

    A review that derives Krichever's elliptic Calogero-Moser Lax matrix from qq-characters of instanton moduli spaces, with K-theoretic and elliptic counterparts, plus Lax eigenvectors from folded instantons.

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